Prime p₀= 1014127967837120789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 40 2 4 2 40 2 (?)
a_n: 0 2 30 32 48 50 120 122 162 164 168 170 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: stoneageman
db: batch=76, k=14, 28 16 70 40 4 40

STPT(10)	1014126898973426591	0 2 78 80 108 110 138 140 216 218	-1068863694198
STPT(10)	1014127091974376789	0 2 12 14 90 92 168 170 180 182	-875862744000
STPT(10)	1014127282145221289	0 2 48 50 90 92 132 134 180 182	-685691899500
SPT(16)	1014127322307807583	0 16 66 100 126 130 168 178 186 196 234 238 264 298 348 364	-645529313206
SPT(16)	1014127362766345799	0 2 12 44 54 90 108 110 252 254 272 308 318 350 360 362	-605070774990
SPT(16)	1014127529678627521	0 100 132 178 196 198 232 238 330 336 370 372 390 436 468 568	-438158493268
STPT(10)	1014128251316436461	0 2 6 8 18 20 30 32 36 38	283479315672
STPT(10)	1014128278446860651	0 2 6 8 48 50 90 92 96 98	310609739862
SPT(16)	1014128352815057647	0 4 46 94 96 136 166 214 216 264 294 334 336 384 426 430	384977936858
SPT(16)	1014128392309429037	0 2 54 72 116 146 156 224 342 410 420 450 494 512 564 566	424472308248
STPT(10)	1014128602507913441	0 2 6 8 48 50 90 92 96 98	634670792652